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Finding the Fourth Proportional to 1,304.34, 1,954.38 and 1,042.96

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Solution

The fourth proportional to 1,304.34, 1,954.38 and 1,042.96 is: 1,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.34 : 1,954.38 = 1,042.96 : x
  2. Step 2: Convert to fraction form
    1,304.34/1,954.38 = 1,042.96/x
  3. Step 3: Cross multiply
    1,304.34x = 1,954.38 × 1,042.96
  4. Step 4: Simplify right side
    1,304.34x = 2,038,336.99
  5. Step 5: Solve for x
    x = 2,038,336.99/1,304.34
  6. Step 6: Final answer
    x = 1,562.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.